loess collapsibility;  fuzzy mathematics;  information diffusion;  Information optimization

The fuzzy mathematical method was applied to the evaluation and prediction of loess collapsibility, and the information diffusion principle in the fuzzy information optimization processing method was used to collect 60 sets of experimental data of loess collapsibility, and the fuzzy relationship between pore ratio and water content and collapsibility coefficient was selected to obtain the corresponding mathematical model for collapsibility evaluation. The model is applied to verify 10 groups of non-parent data, which has small error and good effect, and the method can be well applied to practical engineering.